Question 919603
What?  That is an inequality. An inequality is an inequality. The left side unequal to the right side according to the ordering used.


You indicate {{{abs(x-1/3)<16/3}}}.  The inequality just is.  


Your next statement could use some analysis and maybe solving of the inequality.


If the argument inside absolute value function is zero or positive, then:
{{{x-1/3<16/3}}}
{{{x<16/3+1/3}}}
{{{x<17/3}}}
If the argument is negative, then:
{{{-(x-1/3)<16/3}}}
{{{-x+1/3<16/3}}}
{{{-x<16/3-1/3}}}
{{{-x<15/3}}}
{{{-x<5}}}
Multiply both sides by NEGATIVE 1, which reverses the order symbol,
{{{x>-5}}}
-
The solution is, EITHER {{{x<17/3}}}  OR  {{{x>-5}}};
when you put both of these solution parts together, they share a set of values:
{{{highlight(-5<x<17/3)}}}.